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144152334200 = 23527661155773
BaseRepresentation
bin1000011001000000100…
…1100000111101111000
3111210002020001022102202
42012100021200331320
54330210444143300
6150120032445332
713262141423630
oct2062011407570
9453066038382
10144152334200
11561532642a6
1223b303a9848
1310793c1bb94
146d96cb76c0
153b3a537ad5
hex2190260f78

144152334200 has 96 divisors (see below), whose sum is σ = 383615283360. Its totient is φ = 49348569600.

The previous prime is 144152334199. The next prime is 144152334217. The reversal of 144152334200 is 2433251441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847514 + ... + 1003286.

It is an arithmetic number, because the mean of its divisors is an integer number (3995992535).

Almost surely, 2144152334200 is an apocalyptic number.

144152334200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144152334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191807641680).

144152334200 is an abundant number, since it is smaller than the sum of its proper divisors (239462949160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144152334200 is a wasteful number, since it uses less digits than its factorization.

144152334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156457 (or 156448 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 144152334200 its reverse (2433251441), we get a palindrome (146585585641).

The spelling of 144152334200 in words is "one hundred forty-four billion, one hundred fifty-two million, three hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 661 700 1322 1400 2644 3305 4627 5288 6610 9254 13220 16525 18508 23135 26440 33050 37016 46270 66100 92540 115675 132200 155773 185080 231350 311546 462700 623092 778865 925400 1090411 1246184 1557730 2180822 3115460 3894325 4361644 5452055 6230920 7788650 8723288 10904110 15577300 21808220 27260275 31154600 43616440 54520550 102965953 109041100 205931906 218082200 411863812 514829765 720761671 823727624 1029659530 1441523342 2059319060 2574148825 2883046684 3603808355 4118638120 5148297650 5766093368 7207616710 10296595300 14415233420 18019041775 20593190600 28830466840 36038083550 72076167100 144152334200